x-3/x+1=4/5

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Solution for x-3/x+1=4/5 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x-(3/x)+1 = 4/5 // - 4/5

x-(3/x)-(4/5)+1 = 0

x-3*x^-1-4/5+1 = 0

1*x^1-3*x^-1+1/5*x^0 = 0

(1*x^2+1/5*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+1/5*x^1-3*x^0) = 0

x^1

x^2+(1/5)*x-3 = 0

x^2+(1/5)*x-3 = 0

DELTA = (1/5)^2-(-3*1*4)

DELTA = 301/25

DELTA > 0

x = ((301/25)^(1/2)-(1/5))/(1*2) or x = (-(1/5)-(301/25)^(1/2))/(1*2)

x = ((301/25)^(1/2)-1/5)/2 or x = (-((301/25)^(1/2)+1/5))/2

x in { (-((301/25)^(1/2)+1/5))/2, ((301/25)^(1/2)-1/5)/2} 

x in { (-((301/25)^(1/2)+1/5))/2, ((301/25)^(1/2)-1/5)/2 }

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